Browsing by Author "Weber, Matthias"

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    Handle Addition for Doubly-Periodic Scherk Surfaces
    (De Gruyter, 2012) Weber, Matthias; Wolf, Michael
    We prove the existence of a family of embedded doubly periodic minimal surfaces of (quotient) genus g with orthogonal ends that generalizes the classical doubly periodic surface of Scherk and the genus-one Scherk surface of Karcher. The proof of the family of immersed surfaces is by induction on genus, while the proof of embeddedness is by the conjugate Plateau method.